52 citations · 286 across the 18 of their papers we have counts for
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math.NA2012★ 18 cited
How a nonconvergent recovered Hessian works in mesh adaptation
Lennard Kamenski, Weizhang Huang
Hessian recovery has been commonly used in mesh adaptation for obtaining the required magnitude and direction information of the solution error. Unfortunately, a recovered Hessian…
math.NA2012
Adaptive finite elements with anisotropic meshes
Weizhang Huang, Lennard Kamenski, Jens Lang
The paper presents a numerical study for the finite element method with anisotropic meshes. We compare the accuracy of the numerical solutions on quasi-uniform, isotropic, and anis…
math.NA2012★ 42 cited
Conditioning of Finite Element Equations with Arbitrary Anisotropic Meshes
Lennard Kamenski, Weizhang Huang, Hongguo Xu
Bounds are developed for the condition number of the linear finite element equations of an anisotropic diffusion problem with arbitrary meshes. They depend on three factors. The fi…